Zeros of the Selberg zeta function for symmetric infinite area hyperbolic surfaces
Sign Up to like & getrecommendations! Published in 2018 at "Geometriae Dedicata"
DOI: 10.1007/s10711-018-0386-6
Abstract: In the present paper we give a simple mathematical foundation for describing the zeros of the Selberg zeta functions $$Z_X$$ZX for certain very symmetric infinite area surfaces X. For definiteness, we consider the case of three funneled… read more here.
Keywords: zeta function; zeros selberg; symmetric infinite; infinite area ... See more keywords
Functional equations for Selberg zeta functions with Tate motives
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DOI: 10.1016/j.jnt.2021.05.012
Abstract: For a compact Riemann surface $M$ of genus $g\ge 2$, we study the functional equations of the Selberg zeta functions attached with the Tate motives $f$. We prove that certain functional equations hold if and… read more here.
Keywords: zeta functions; equations selberg; functions tate; selberg zeta ... See more keywords
A transfer-operator-based relation between Laplace eigenfunctions and zeros of Selberg zeta functions
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DOI: 10.1017/etds.2018.51
Abstract: Over the last few years Pohl (partly jointly with coauthors) has developed dual ‘slow/fast’ transfer operator approaches to automorphic functions, resonances, and Selberg zeta functions for a certain class of hyperbolic surfaces $\unicode[STIX]{x1D6E4}\backslash \mathbb{H}$ with… read more here.
Keywords: stix x1d6e4; zeta functions; selberg zeta; stix ... See more keywords